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Finding the Fourth Proportional to 2,005.58, 3,000.80 and 1,184.30

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Solution

The fourth proportional to 2,005.58, 3,000.80 and 1,184.30 is: 1,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.58 : 3,000.80 = 1,184.30 : x
  2. Step 2: Convert to fraction form
    2,005.58/3,000.80 = 1,184.30/x
  3. Step 3: Cross multiply
    2,005.58x = 3,000.80 × 1,184.30
  4. Step 4: Simplify right side
    2,005.58x = 3,553,847.44
  5. Step 5: Solve for x
    x = 3,553,847.44/2,005.58
  6. Step 6: Final answer
    x = 1,771.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.